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Finding the Fourth Proportional to 21,949.25, 32,924.93 and 7,158.14

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Solution

The fourth proportional to 21,949.25, 32,924.93 and 7,158.14 is: 10,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,949.25 : 32,924.93 = 7,158.14 : x
  2. Step 2: Convert to fraction form
    21,949.25/32,924.93 = 7,158.14/x
  3. Step 3: Cross multiply
    21,949.25x = 32,924.93 × 7,158.14
  4. Step 4: Simplify right side
    21,949.25x = 235,681,058.01
  5. Step 5: Solve for x
    x = 235,681,058.01/21,949.25
  6. Step 6: Final answer
    x = 10,737.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.